In a group of 26 students, 21 like football and 14 like cricket. What is the number of students who like both football and cricket?

In a group of 26 students, 21 like football and 14 like cricket. What is the number of students who like both football and cricket?

Explanation

Total students = 26

Students who like football = 21

Students who like cricket = 14

Let x be the number of students who like both football and cricket.

Using the formula:

(Football ∪ Cricket) = Football + Cricket – Both

So,

26 = 21 + 14 – x

26 = 35 – x

x = 35 – 26

x = 9